Answer:
$124 higher
Step-by-step explanation:
Given
Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes
When he withdrew, the balance becomes
Hence, the algebraic expression is
Calculating how much higher or lower
Open bracket
Recall that the initial amount in the account is x
The difference between the balance and the x is as follows
<em>Hence, the account has a higher of $124 after both transactions</em>
Answer:
D
Step-by-step explanation:
Given a polynomial f(x) with roots say x = a and x = b, then the factors are
(x - a) and (x - b) and f(x) is the product of the roots, that is
f(x) = (x - a)(x - b)
Here the roots are x = - 4, x = 0 and double root at x = 7
Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x
Given a double root at x = 7 the factor is (x - 7)², thus polynomial is
y = x(x + 4)(x - 7)² → D
Let X be the number of burglaries in a week. X follows Poisson distribution with mean of 1.9
We have to find the probability that in a randomly selected week the number of burglaries is at least three.
P(X ≥ 3 ) = P(X =3) + P(X=4) + P(X=5) + ........
= 1 - P(X < 3)
= 1 - [ P(X=2) + P(X=1) + P(X=0)]
The Poisson probability at X=k is given by
P(X=k) = 
Using this formula probability of X=2,1,0 with mean = 1.9 is
P(X=2) = 
P(X=2) = 
P(X=2) = 0.2698
P(X=1) = 
P(X=1) = 
P(X=1) = 0.2841
P(X=0) = 
P(X=0) = 
P(X=0) = 0.1495
The probability that at least three will become
P(X ≥ 3 ) = 1 - [ P(X=2) + P(X=1) + P(X=0)]
= 1 - [0.2698 + 0.2841 + 0.1495]
= 1 - 0.7034
P(X ≥ 3 ) = 0.2966
The probability that in a randomly selected week the number of burglaries is at least three is 0.2966
Answer:
-110
Step-by-step explanation:
-70 + -40 = -110
Answer:
until you only look at the thousands and hundreds place and if the hundred is 5 or more you round the thousands up one
so 3,842,532 rounded the the nearest 1000 is 3,843,000
